number-theory / Geometry of numbers

No-Go Theorems for Poisson Certificates of Gaussian Mass Maximality

For $n \ge 4$, the natural scalar Poisson-summation certificates cannot prove the Regev-Stephens-Davidowitz Gaussian mass conjecture: any such certificate saturates, so the whole approach is blocked.

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For $n \ge 4$, the natural scalar Poisson-summation certificates cannot prove the Regev-Stephens-Davidowitz Gaussian mass conjecture: any such certificate saturates, so the whole approach is blocked.

a barrier result about one proof strategy, not the conjecture itself

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No-Go Theorems for Poisson Certificates of Gaussian Mass Maximality — Mathematical Frontier Network